1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BartSMP [9]
3 years ago
7

-4x-2y=30 1/3y=7/3x+5/3 we are supposed to use substitution when solving

Mathematics
1 answer:
seropon [69]3 years ago
4 0

Answer:

The solution set is (-20/9, -95/9)

Step-by-step explanation:

To solve using the substitution method, start by solving the second equation for y.

1/3y = 7/3x + 5/3

y = 7x + 5

Now that we have this, we can plug it in for y in the first equation. Then we can solve for x.

-4x - 2(7x + 5) = 30

-4x - 14x - 10 = 30

-18x - 10 = 30

-18x = 40

x = -20/9

Now that we have the value of x, we can solve for y by inputting the x value into either equation.

-4x - 2y = 30

-4(-20/9) - 2y = 30

80/9 - 2y = 30

80/9 - 2y = 270/9

-2y = 190/9

y  = -95/9

You might be interested in
Fraction less than 5/6 with a denominator of 8
e-lub [12.9K]
7/8 is the answer hope this helps
8 0
2 years ago
Students in an introductory statistics course were asked the following questions as part of a class survey:(1) What is your gend
11Alexandr11 [23.1K]

Answers:

Gender = categorical, nominal variable

Sleep length = numerical, continuous

Bedtime = categorical, ordinal

Number of countries visited = numerical, discrete

Scale of dreading semester = categorical, ordinal

=========================

Explanation:

Gender is categorical because there are two categories or labels, male or female. It is nominal because we simply attach names to each label and we can't sort them or order them from highest to lowest. There is no ranking for gender.

Sleep length is numerical as it deals with numbers. I put continuous because someone could write 2.5 hours or 3.75 hours. If whole numbers are only allowed, then the variable would be discrete.

The bedtime portion is categorical as each time slot is a category. Like with the first part, they are simply labels. We can order them however from earliest to later on, which is why this variable is ordinal.

The number of countries visited is numeric as expected, and it's also discrete because we can't visit 0.1 of a country. By "visit", I mean step foot in any part of the country for any length of time. It does not mean you have to explore every square inch of the territory.

The last part is categorical and ordinal. The scale ranking is ordered for us from 1 to 5. Despite the fact we have numbers here, the data is not numerical as the numbers 1 through 5 represent labels of "very little" through "a lot".

5 0
3 years ago
write an equation in slope-intercept form for a line that goes through (9,-2) and is parallel to y=7x+2​
lozanna [386]

Answer:

y=7x-65

Step-by-step explanation:

3 0
2 years ago
Given that<br> 5x:9=8:3<br> Calculate the value of x<br> Give your answer in its simplest form.
lbvjy [14]

Answer:

24/5

Step-by-step explanation:

5x : 9

(8 : 3)×3

5x : 9

24 : 9

5x = 24

x = 24/5 = 4/4/5

8 0
1 year ago
Read 2 more answers
Need help plz help me
forsale [732]
8200? 82,000? 820,000?
4 0
3 years ago
Other questions:
  • Two busses leave Billings at the same time. The Seattle bus heads west on I-90 at a speed of 73 miles per hour while the Chicago
    15·2 answers
  • 7 times as many as 9 is
    6·1 answer
  • Mr Morgan has 5 daughters all born the same number of years apart as the youngest daughter is old. the difference in ages of the
    14·1 answer
  • Find the distance between the number 2.6 and 5.9 on the numberline
    6·2 answers
  • Henry makes $7.00 per hour before taxes working at a movie theater. On Tuesday, Henry worked 5 hours, and then he worked 4 hours
    11·1 answer
  • Determine the x- and y- intercepts for the graph equation y = -8
    12·2 answers
  • PLEASE HELP ME 50 POINTS!!!
    8·1 answer
  • Find the slope of the line y= -2/3x
    14·1 answer
  • What is the first step of solving this equation<br>3(x+2)^2-1=47​
    13·2 answers
  • Look at pic DUE AT 4:00 HELPPP
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!